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134) is trivial: for any weight vector w, use instead the weight vector The weight vector of Eq. (137) with w = R−1 t is often called the minimum-variance distortionless response (MVDR) beamformer because it provides unit (“distortionless”) gain on the target steering vector and minimizes the variance of its output. Constraining the output interference-plus-noise power to unity is similarly trivial; for any weight vector w, use instead the weight vector A weight vector optimizing the SINR and satisfying the output noise power constraint of Eq.

With the goal of improving system performance in circumstances beyond the relatively simple scenarios assumed within this article, adaptive methods are being used to address increasingly challenging applications and environments. Current areas of research focus on the possibility of exploiting a prior knowledge, compiled databases, and a Bayesian framework when faced with the challenge of rapidly varying interference environments [Guerci (58)], [Haykin (60)]. In applications where there is multipath propagation, the spatial diversity of the multipleinput multiple-output (MIMO) channel may provide per- Radar, Adaptive 27 Figure 14.

The conditional distribution of ϒ is CN(0, 1) under H0 and CN((a/|a|)(x )1/2 , 1) under H1 , given the loss factor . Therefore, the GLRT test is equivalent to the test Adaptive Detectors Generalized Likelihood Ratio. Using the generalized likelihood ratio test (GLRT) approach (24) under a multivariate complex Gaussian assumption, Kelly (39, 40) derived the equivalent GLRTs which yields a noncentral F distribution (27) conditioned on the loss factor . This test is comparable to a classical CFAR detector (42).

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55.Signal Processing by John G. Webster (Editor)

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